01728 I Consider a year E R. Here k > 102. Consider a matrix M defined...

   

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01728 I Consider a year E R. Here k > 102. Consider a matrix M defined follow MrrT. Based on this definition answer the following: as (2) How many non-zero eigenvalue does the matrix M have?. Derive all the nonzero eigenvalues. (b) Find the sum of absolute value of eigenvalues of this matrix i.e where A is the ith eigenvalue of M. i=1 (c) How many non-zero singular values does MTM have. Also, derive the value of all non-zero singular value of MTM. [4 Marks] 01728 I Consider a year E R. Here k > 102. Consider a matrix M defined follow MrrT. Based on this definition answer the following: as (2) How many non-zero eigenvalue does the matrix M have?. Derive all the nonzero eigenvalues. (b) Find the sum of absolute value of eigenvalues of this matrix i.e where A is the ith eigenvalue of M. i=1 (c) How many non-zero singular values does MTM have. Also, derive the value of all non-zero singular value of MTM. [4 Marks]